Question 3a. [.At a certain gas station, 65% of the customers use regular gas, and all the other customers usepremium gas. Of those customers using regular gas, only 30% fill their tanks. Of thosecustomers using premium gas, 55% fill their tanks.a) What is the probability that the next customer uses premium gas and he did not fill histank?b) What is the probability that the next customer uses regular gas and he filled histank?c) What is the probability that the next customer will fill his tank?

Given: 65% of the customers uses regular gas 100%-65% = 35% of the customers uses premium gas.…

Answered: Question 3a. [. At a certain gas…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
You work for a large global management consulting company. Of the entire workforce of analyst, 29% have had no experience in the telecommunications industry, 36% have had limited experience (less than five years), and the rest have had extensive experience (five years or more). You are assigned to be part of a team of three analyst of a global management consulting company. What is the probability that of your other two teammates a) Neither has any telecommunications experience? b) Both have some telecommunications experience? c) At least one has had extensive telecommunications experience
Two people, A and B, are competing for the control of a corporation. The probabilities that these two people will win are 0.7 and 0.3, respectively. If A wins, the probability of introducing a new product is 0.8; if B wins, the corresponding probability is 0.4. a) What is the probability that a new product will be introduced? b) If a new product is introduced, what is the probability that B won the competition?
Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.41 0.07 0.03 0.49 a) Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.)b) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
1. Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.72. This can expressed as P(call is for medical assistance) = 0.72. Assume each call is independent of other calls. a) Interpret the probability that an incoming call is for medical assistance. b) What is the probability that none of the next four calls are for medical assistance. c) You want to estimate the probability that exactly three of the next four calls are for medical assistance. Describe how you would use the table of random digits to simulate this probability. (Remember that after reaching 4 different numbers, check for exactly 3 calls for medical assistance, then repeat)
a) An automobile manufacturer is concerned about a possible recall of its best-selling four- door sedan. If there were a recall, there is a probability of 0.18 of a defect in the brake system, 0.17 of a defect in the transmission, 0.25 of a defect in the fuel system, and 0.40 of a defect in some other area. i) What is the probability that the defect is the brakes or the fueling system if the probability of defects in both systems simultaneously is 0.15? ii) What is the probability that there are no defects in either the brakes or the fueling system? b) if two fair dice are thrown, what is the probability of getting? i) ii) A double six A sum of 8 or more dots

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